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    Wyświetlanie 1-4 z 4
    Tytuł:
    Sufficient conditions for uniform global asymptotic stabilization of affine discrete-time systems with periodic coefficients
    Autorzy:
    Czornik, Adam
    Makarov, Evgenii
    Niezabitowski, Michał
    Popova, Svetlana
    Zaitsev, Vasilii
    Powiązania:
    https://bibliotekanauki.pl/articles/2083470.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    discrete-time systems
    periodic systems
    affine systems
    uniform global asymptotic stabilization
    state feedback
    Opis:
    Affine discrete-time control periodic systems are considered. The problem of global asymptotic stabilization of the zero equilibrium of the closed-loop system by state feedback is studied. It is assumed that the free dynamic system has the Lyapunov stable zero equilibrium. The method for constructing a damping control is extended from time-invariant systems to time varying periodic affine discrete-time systems. By using this approach, sufficient conditions for uniform global asymptotic stabilization for those systems are obtained. Examples of using the obtained results are presented.
    Źródło:
    Archives of Control Sciences; 2021, 31, 1; 81-98
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Two steps piecewise affine identification of nonlinear systems
    Autorzy:
    Stevek, J.
    Szucs, A.
    Kvasnica, M.
    Fikar, M.
    Kozak, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/229499.pdf
    Data publikacji:
    2012
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    piecewise affine systems
    piecewise linear
    approximation
    nonlinear systems
    orthogonal polynomials
    basis function expansion
    Opis:
    Given a set of input-output measurements, the paper proposes a method for approximation of a nonlinear system by a piecewise affine model (PWA). First step of the two-stage procedure is identification from input-output data, in order to obtain an appropriate nonlinear function in analytic form. The analytic expression of the model can be represented either by a static nonlinear function or by a dynamic system and can be obtained using a basis function expansion modeling approach. Subsequently we employ nonlinear programming to derive optimal PWA approximation of the identified model such that the approximation error is minimized. Moreover, we show that approximation of multivariate systems can be transformed into a series of one-dimensional approximations, which can be solved efficiently using standard optimization techniques.
    Źródło:
    Archives of Control Sciences; 2012, 22, 4; 371-388
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extending Lyapunov redesign method for robust stabilization of non-affine quadratic polynomial systems
    Autorzy:
    Binazadeh, T.
    Rahgoshay, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/205649.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Lyapunov redesign
    non-affine
    quadratic polynomial systems
    magnetic ball levitation system
    Opis:
    The Lyapunov redesign method is basically used for robust stabilization of nonlinear systems with an affine structure. In this paper, for the first time, by suggestion of a simple but effective idea, this approach is developed for robust stabilization of non-affine quadratic polynomial systems in the presence of uncertainties and external disturbances. In the proposed method, according to the upper bound of an uncertain term, a quadratic polynomial is constructed and with respect to the position of the roots of this polynomial, the additional feedback law is designed for robustness of the quadratic polynomial system. The proposed technique is also used for robust stabilizing of a magnetic ball levitation system. When the coil current is the control input of the magnetic ball levitation system, equations of this system are increasingly nonlinear with respect to control input and have quadratic polynomial structure. The effectiveness of the proposed control law is also demonstrated through computer simulations.
    Źródło:
    Control and Cybernetics; 2016, 45, 3; 373-384
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An observer-based controller design for nonlinear discrete-time switched systems with time-delay and affine parametric uncertainty
    Autorzy:
    Baleghi, N. A.
    Shafiei, M. H.
    Powiązania:
    https://bibliotekanauki.pl/articles/230013.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    discrete-time switched systems
    time-delay
    affine parametric uncertainty
    observer-based controller
    Opis:
    This paper proposes a design procedure for observer-based controllers of discrete-time switched systems, in the presence of state’s time-delay, nonlinear terms, arbitrary switching signals, and affine parametric uncertainties. The proposed switched observer and the state-feedback controller are designed simultaneously using a set of linear matrix inequalities (LMIs).The stability analysis is performed based on an appropriate Lyapunov–Krasovskii functional with one switched expression, and in the meantime, the sufficient conditions for observer-based stabilization are developed. These conditions are formulated in the form of a feasibility test of a proposed bilinear matrix inequality (BMI) which is a non-convex problem. To make the problem easy to solve, the BMI is transformed into a set of LMIs using the singular value decomposition of output matrices. An important advantage of the proposed method is that the established sufficient conditions depend only on the upper bound of uncertain parameters. Furthermore, in the proposed method, an admissible upper bound for unknown nonlinear terms of the switched system may be calculated using a simple search algorithm. Finally, the efficiency of the proposed controller and the validity of the theoretical results are illustrated through a simulation example.
    Źródło:
    Archives of Control Sciences; 2020, 30, 3; 501-521
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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